Functional Analysis and Applications Seminar 

12/03/2002, 14:00 — 15:00 — Room P3.10, Mathematics Building
Israel Gohberg, Tel Aviv University, Israel

Infinite Systems of Linear Equations

Infinite systems of linear equations are usually solved by the method of finite sections. This means that the infinite system is replaced by the sequence of finite sections of the original system and it is expected that the solutions of the finite systems converge to the solution of the infinite system. This method has a rich history of 150 years and many distinguished mathematicians have made important contributions in this area. The talk will present the early history and recent important achievements. Unexpected examples and computational experiments will motivate and illustrate the main results. Special attention will be paid to the case of Toeplitz matrices with continuous and discontinuous symbols.